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Finding the Fourth Proportional to 544.43, 820.28 and 471.53

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Solution

The fourth proportional to 544.43, 820.28 and 471.53 is: 710.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.43 : 820.28 = 471.53 : x
  2. Step 2: Convert to fraction form
    544.43/820.28 = 471.53/x
  3. Step 3: Cross multiply
    544.43x = 820.28 × 471.53
  4. Step 4: Simplify right side
    544.43x = 386,780.17
  5. Step 5: Solve for x
    x = 386,780.17/544.43
  6. Step 6: Final answer
    x = 710.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.